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AustraliaVIC
VCE 11 General 2023

5.06 Applications of geometric sequences

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Outcomes

U1.AoS2.5

the use of first-order linear recurrence relations of the form u_o=a,u_{n+1}=RU_nwhere 𝑎 and 𝑅 are constants to model compound interest investments and loans, reducing balance depreciation of an asset over time, including the rule for the future value of the asset after 𝑛 depreciation periods, compound interest investments and debts

U1.AoS2.7

use a given recurrence relation to generate a sequence, deduce the explicit rule, n u from the recursion relation, tabulate, graph and evaluate the sequence

U1.AoS2.9

demonstrate the use of a recurrence relation to determine the linear depreciating value of an asset after 𝑛 time periods for the initial sequence

U1.AoS2.10

use a rule for the future value of a linear depreciating asset to solve practical problems

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